The distance between them on a map at a scale 1 : 600,000 is 14.5 cm
Step-by-step explanation:
Scale drawing:
- Is used to represent a real object with accurate sizes reduced or enlarged by a certain amount (called the scale)
- States the ratio of a length in the drawing to an equivalent length in the real world
- 1 : 100 means 1 unit in drawing represents 100 units in real life
∵ The distance between two cities is 87 km
∵ The distance between them on a map drawn at a scale of
1 : 600,000
- That means each 1 cm represents in real life 600,000 cm, so
you must change the kilometer to centimeter
∵ 1 km = 100,000 cm
∴ 87 km = 87 × 100,000 = 8,700,000 cm
Now let us use the ratio method
→ 1 : 600,000
→ x : 8,700,000
By using cross multiplication
∴ x × 600,000 = 1 × 8,700,000
- Divide both sides by 600,000
∴ x = 14.5
∴ The distance between them on the map = 14.5 cm
The distance between them on a map at a scale 1 : 600,000 is 14.5 cm
Learn more:
You can learn more about the scale drawing in brainly.com/question/570757
#LearnwithBrainly
